\(\mu \)-bases for polynomial systems in one variable

DOI10.1016/j.cagd.2008.04.001zbMath1205.65043OpenAlexW2079920509MaRDI QIDQ625173

Ning Song, Ronald N. Goldman

Publication date: 15 February 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2008.04.001

Mathematics Subject Classification ID

Numerical interpolation (65D05) Spline approximation (41A15)

Related Items

Algorithms for computing strong \(\mu\)-bases for rational tensor product surfaces ⋮ Using moving planes to implicitize rational surfaces generated from a planar curve and a space curve ⋮ Complex \(\mu\)-bases for real quadric surfaces ⋮ Explicit \(\mu\)-bases for conic sections and planar rational cubic curves ⋮ Using \(\mu \)-bases to reduce the degree in the computation of projective equivalences between rational curves in \(n\)-space ⋮ Computing \(\mu\)-bases of univariate polynomial matrices using polynomial matrix factorization ⋮ Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces ⋮ Role of moving planes and moving spheres following Dupin cyclides ⋮ Axial moving planes and singularities of rational space curves ⋮ Matrix-based implicit representations of rational algebraic curves and applications ⋮ Algorithm for computing \(\mu\)-bases of univariate polynomials ⋮ \(\mu\)-bases for complex rational curves ⋮ Rational curves over generalized complex numbers ⋮ Reconstruction of rational ruled surfaces from their silhouettes ⋮ \(\mu\)-bases for rational canal surfaces ⋮ Set-theoretic generators of rational space curves ⋮ Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using \(\mu \)-basis ⋮ Division algorithms for Bernstein polynomials

Cites Work

• Axial moving lines and singularities of rational planar curves
• The moving line ideal basis of planar rational curves
• Implicitizing rational curves by the method of moving algebraic curves
• A new implicit representation of a planar rational curve with high order singularity
• On the validity of implicitization by moving quadrics for rational surfaces with no base points
• The μ-basis of a planar rational curve—properties and computation
• Curve implicitization using moving lines

This page was built for publication: \(\mu \)-bases for polynomial systems in one variable